eigenvector misalignment

[[concept]]

Eigenvector misalignment $\delta$

Let $S=V\Lambda V^T$ and $\tilde{E}=UM{U}^T$. Then $\delta (S,\tilde{E})=(||U-V||+1{)}^2=1$

If both $U$ and $V$ are normal (ie $||U||=||V||=1$), then $\delta \le 8$.

Mentions

TABLE
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WHERE !direct_source